114775200 has 216 divisors, whose sum is σ = 426535200. Its totient is φ = 28961280.

The previous prime is 114775189. The next prime is 114775207. The reversal of 114775200 is 2577411.

It is not an unprimeable number, because it can be changed into a prime (114775207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 136381 + ... + 137219.

It is an arithmetic number, because the mean of its divisors is an integer number (1974700).

Almost surely, 2^114775200 is an apocalyptic number.

114775200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114775200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213267600).

114775200 is an abundant number, since it is smaller than the sum of its proper divisors (311760000).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

114775200 is a wasteful number, since it uses less digits than its factorization.

114775200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 884 (or 868 counting only the distinct ones).

The product of its (nonzero) digits is 1960, while the sum is 27.

The square root of 114775200 is about 10713.3188135143. The cubic root of 114775200 is about 485.9773397960.

The spelling of 114775200 in words is "one hundred fourteen million, seven hundred seventy-five thousand, two hundred".